Results 31 to 40 of about 1,208 (130)
Example of a six-dimensional LCK solvmanifold
Complex Manifolds, 2017 The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Sawai Hiroshi
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Hypercomplex Almost Abelian Solvmanifolds
The Journal of Geometric Analysis, 2023 Minor ...
Adrián Andrada, María Laura Barberis
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An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
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Examples of solvmanifolds without LCK structures
Complex Manifolds, 2018 The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
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Kahler Structures on Compact Solvmanifolds [PDF]
Proceedings of the American Mathematical Society, 1990 In a previous paper, the authors proved that the only compact nilmanifolds Γ ∖ G \Gamma \backslash G which admit Kähler structures are tori. Here we consider a more general class of homogeneous spaces Γ ∖ G \Gamma \backslash G , where G G is a ...
Carolyn S. Gordon, Chal Benson
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A non-Sasakian Lefschetz K-contact manifold of Tievsky type [PDF]
, 2016 We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of $K$-contact manifolds which satisfy the Hard Lefschetz Theorem and have a model of Tievsky type just as Sasakian manifolds but do not admit ...
Cappelletti-Montano, Beniamino +3 more
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Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
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The Classification of Flat Solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1978 This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of dimensions 3, 4, and
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Cohomology of D-complex manifolds [PDF]
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Angella, Daniele +1 more
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Ricci soliton solvmanifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 18 pages, to appear in Crelle's ...
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